• Journal of the Korean Mathematical Society
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• v.35 no.1
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• pp.237-257
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• 1998

By introducing the notion of a generalized normal state space, we give a necessary and sufficient condition for that there exists a unital normal completely map from a von Neumann algebra into another, in terms of their generalized normal state spaces.

• Journal of the Korean Mathematical Society
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• v.59 no.4
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• pp.805-819
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• 2022

We describe the structure of finite p-groups in which all normal closures of non-normal subgroups have two orders for p > 2.

• The Mathematical Education
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• v.13 no.2
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• pp.29-31
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• 1974

P.Zenor에 의해서 Monotonically Normal space가 정의되었으며 그후 R. Health와 D. Lutzer에 의해서 Linearly ordered topological space가 Monotonically Normal 임을 증명했다. 한편 Zenor는 Monotonically Normal Space의 hereditary에 관한 것을 question으로 남겼는데 Health와 Lutzer가 증명했고 또 그 증명보다 더 간단한 증명을 Calos R. Boyers가 증명했다[3]. 뿐만 아니라 그 결과로서 Linearly ordered topological space와 Elastic space 가 Monotonically Normal space임을 밝혔다. 또 [4]에서 Gary Gruenhage가 Monotonically Normal space가 Elastic space가 안됨을 counterexample을 들어서 증명했다. 결론적으로 Monotonically Normal spare와 Elastic space는 완전히 분리되었다. 또 Elastic space의 closed continuous image는 paracompact이고 Monotonically Normal 임을 증명했다. 이 논문에서는 본인이 밝힌 것은 Monotonically Normal space의 closed continuous image가 Mono tonically Normal임을 밝혔다.

• Communications for Statistical Applications and Methods
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• v.26 no.6
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• pp.583-589
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• 2019

Counterexamples of a skew-normal distribution are developed to improve our understanding of this distribution. Two examples on bivariate non-skew-normal distribution owning marginal skew-normal distributions are first provided. Sum of dependent skew-normal and normal variables does not follow a skew-normal distribution. Continuous bivariate density with discontinuous marginal density also exists in skew-normal distribution. An example presents that the range of possible correlations for bivariate skew-normal distribution is constrained in a relatively small set. For unified skew-normal variables, an example about converging in law are discussed. Convergence in distribution is involved in two separate examples for skew-normal variables. The point estimation problem, which is not a counterexample, is provided because of its importance in understanding the skew-normal distribution. These materials are useful for undergraduate and/or graduate teaching courses.

• Journal of the Korean Chemical Society
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• v.59 no.2
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• pp.179-182
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• 2015

• Communications for Statistical Applications and Methods
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• v.11 no.2
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• pp.265-274
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• 2004

The paper extends earlier work on the skew-normal distribution, a family of distributions including normal, but with extra parameter to regulate skewness. The present work introduces a singly truncated parametric family that strictly includes a truncated normal distribution, and studies its properties, with special emphasis on the relation with bivariate normal distribution.

• The korean journal of orthodontics
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• v.17 no.1
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• pp.23-32
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• 1987

There are variations in regional cranial and facial balance as a normal developmental process and regional imbalances often tend to compensate each other to provide functional equilibrium. This study was designed to analyse the patterns of morphologic harmony and inharmony inherent in normal occlusion and malocclusion. The subjects consisted of 92 individuals with normal occlusion and 60 Class III malocclusion patients. Their lateral cephalograms were traced and analysed using the counterpart analysis described by Enlow. The normal occlusion group was divided into Normal Types A and B according to the relative positions of Points A and B. The following conclusions were reached: 1 The normal occlusion consisted of $28.3\%$ of Normal Type A and $69.6\%$ of Normal Type B. 2. The Normal Type A and B differed from each other in the morphology of the cranial base, the mandibular ramus and corpus, and the functional occlusal plane. The Normal Type B showed considerable mandibular protrusion effect in the effective dimension and alignment of the above factors. 3. Most normal individuals showed some degree of disharmony among morphologic factors but the deviations were relatively small. 4. The Normal Type B was less balanced than the Normal Type A. 5. More regional imbalances were involved in Class III malocclusion and the imbalances were more severe.

• Bulletin of the Korean Chemical Society
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• v.35 no.8
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• pp.2544-2546
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• 2014

• Journal of Korean Medical classics
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• v.29 no.3
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• pp.1-12
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• 2016

Objectives : Deciding whether a year will be a Normal Qi Year is an important task within the study of Five Periods. Normal Qi Year, a period of peace and calmness, comes when a given year's elements are neither excessive nor deficient. There is, however, no unified definition for Normal Qi Year. This paper is written to propose a definition that could serve as such. Methods : Somunyukgihyunjumileo, various masters' opinions, and conventional Chinese scholars' claims were studied based on Hwnagjenaegyeong to produce this paper. Results : Within The Year of Sehoi(歲會年), only four years are Normal Qi Years and the other four years are not Normal Qi Years. The six years of Jehwa(齊化) are all Normal Qi Years because excessive elements are suppressed. The six years of Donghwa are all Normal Qi Years because deficient elements are bolstered. The years of Dongsehoi (同歲會) are all Normal Qi Years. All of the six elemental deficient years of the Year of Sunhwa(順化年), when the energy of Heaven emanates elements, are all Normal Qi Years. Conclusions : Not counting the overlapping Normal Qi Years during a periodical circle of 60 years, there is a total of 23 Normal Qi Years: the years of Eulchuk(乙丑), Jeongmyo(丁卯), Mujin(戊辰), Gyeongo(庚午), Shinmi(辛未), Gyeyu(癸酉), Eulyu(乙酉), Jeonghe(丁亥), Gichuk(己丑), Gyeongin(庚寅), Shimnyo(辛卯), Gyesa(癸巳), Eulmi(乙未), Musul(戊戌), Gyeongja(庚子), Shinchuk(辛丑), Gyemyo(癸卯), Eulmyo(乙卯), Jeongsa(丁巳), Gimi(己未), Gyeongshin(庚申), Shinyu(辛酉), and Gyehye(癸亥).

• Honam Mathematical Journal
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• v.39 no.4
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• pp.515-525
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• 2017

In this paper, we study planar normal section curves. We have interpreted curvatures of normal section curves. On the other hand we have investigated sufficient and necessary conditions for a normal section curve to be biharmonic.